Therefore , the solution of the given problem of expression comes out to be probably 4 slices.
Who or what is expression?In mathematics, it is possible can multiply, division, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression. Expressions and phrases can be contrasted.
Here,
you figure if a toaster takes about 1-2 minutes to toast a piece of bread and a toaster usually can fit 2 slices at a time i would say 4.
Preheat oven broil to high. Move oven rack to highest position.
Place sliced bread on an ungreased baking sheet. 4 slices of bread.
Broil bread for 1 minute, or until golden brown, then flip and broil for another 20-30 seconds. ...
Top with butter, jam, or any other favorite topping!
The temperature needed for the hot ambient air in a toaster, which makes the bread turn brown, is around 310°F (146°C). The heating element inside a toaster is a nickel-chromium alloy. The electrical current that runs through it heats it to make it red hot, with a temperature of 1,100°F to 1,200°F (519°C to 566°C).
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f(x)=-2x+3 find f(3)
answer: -3 lmk if you want an explanation!
Calculate the sector area: 16 in 90°
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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7sur 15 plus 6sur25 FRACTION
Answer:
53/75
Step-by-step explanation:
15 = 3 × 5
25 = 5²
PPCM = 3 × 5² = 75
75/15 = 5
75/25 = 3
7/15 + 6/25 =
= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)
= 35/75 + 18/75
= 53/75
GIVING BRAINLIEST PLEASE HELP
Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour. She also gets a $100 bonus for agreeing to start right away! Create an equation, table, and graph to represent this situation. Define your variables!
The linear equation y = 15x +100. And the graph and table are given in the attached image.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour.
She also gets a $100 bonus for agreeing to start right away.
Let x be an hour, she worked.
And y be the total earnings.
So, the equation,
y = 15x + 100
The table is given in the attached image.
And the graph is also given.
Therefore, the equation is y = 15x + 100
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Show that 113 +112 = 225, using at least three daily life examples.
Answer:hope this helps!
1. Step-by-step explanation:
there is a blanket costing 112
and a chair costing 113
after going to the register you find that the total is
225
2. Step-by-step explanation:
there is a printer costing 112
and a laptop costing 113
after going to the register you find that the total is
225
3. Step-by-step explanation:
there is a pillow costing 112
and some makeup costing 113
after going to the register you find that the total is
225
hope this helps i was in a rush so sorry if it was bad
Model -2/4 + 3/4 on the number line
The model lies between 0 and 1 on the number line.We can find by dividing number and then add both of number.
How do we represent number on a number line?The real number line is a horizontal line with arrows on both sides. It consists of the origin “0”. All the positive numbers are represented on the right side of the origin and all the negative numbers are represented on the left side of the origin, with a definite scale.
What is a Number Line Model?A number line model is a representation of numbers plotted on an infinite line that extends at both ends.It is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.
Now we find
-2/4 =-0.5
3/4= 0.75
0.75- 0.5=0.25
which is lies between 0 and 1 on the number line.
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What are the main things I need to know when doing variables on both sides of the equation?
Answer:
Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.
Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.
When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.
Write complex number in standard form.
Answer:
it's B
[tex] - \frac{9}{4} + 2i = - \frac{9}{4} - 4i[/tex]
Answer:
C
Step-by-step explanation:
please refer to the sketch
A parent function is a linear function of the form y=b true of false
False
Step-by-step explanation:The parent function is the simplest function within a family of functions that defines the general form of that family.
Parent Functions
Parent functions are given in terms of y and x, where y is the output and x is the input. In linear functions, b represents a constant, specifically the y-intercept. Since the form y=b does not have an input it cannot be the parent function of linear lines. The graph of y=b would be a horizontal line with no slope. This does not define the general form of most linear functions. Additionally, since the slope has been changed to zero, it is not considered the simplest form of linear functions.
Linear Parent Function
The true parent function of linear functions is y=x. This function is the simplest linear function and has no transformations. Additionally, when graphed it is a diagonal line that defines the general shape of lines.
To create new linear functions the parent function, y=x, can be transformed by changing the coefficient of x to change the slope or by adding a constant to shift the graph vertically.
An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.
Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.
What is lowest value of iphone ?It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.
Sterling to Euro : [tex]$750 \times 1.14=6855$[/tex]
Pounds to dollars : [tex]$750 \times 1.39=\$ 1042.5$[/tex]
One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.
The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.
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Tina paid for6 hours of canoeing and 1 life jacket rental with two twenty dollar bills. How much change did Tina get back
The amount of change that Tina got back would be = $10
How to calculate Tina's change after the bills payment?The amount of hours Tina spent in canoeing = 6 hours
The amount paid per hour for canoeing = $4
Therefore the total amount spent on canoeing = 6×4 = $24
The cost of the life jacket = $6
Therefore the total amount Tina spent = total amount spent on canoeing + cost of the life jacket.
That is; 24+6 = $30
The change Tina will receive from the two twenty dollars bills = (2×20) - 30
= 40-30 = $10
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What is this expression in simplified form?
(√22) (5√2)
O A. 10√11
O B.
12√11
O c.
20v/11
OD. 24√/11
Radicals
Simplifying radicalsApplicationStep 1: DefineLet's organize what the problem gives us.
We are given an expression to simplify: [tex]\displaystyle (\sqrt{22})(5 \sqrt{2})[/tex]
Step 2: WorkRecall the specific rules to simplify radicals. We will apply those rules here to help us answer the question:
[tex]\displaystyle\begin{aligned}(\sqrt{22})(5 \sqrt{2}) & = 5 \sqrt{44} \\& = 5 \sqrt{4 \cdot 11} \\& = (5 \sqrt{4})(\sqrt{11}) \\& = (5 \cdot 2)(\sqrt{11}) \\& = \boxed{ 10 \sqrt{11} }\end{aligned}[/tex]
∴ the expression (√22)(5√2) simplifies down to 10√11.
Answer∴ the expression in simplified form is equal to A. 10√11.
___
Topic: Pre-Algebra
Unit: Radicals
I need help completing the square
The formula needed to transform a quadratic polynomial or equation into a perfect square with an additional constant is known as the square formula. It is expressed as, [tex]ax^2 + bx + c = a(x + m)^2 + n[/tex], where, m and n are real numbers.
What does math's "completing the square" mean?When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. A good example is [tex]x^2 + 6x + 7[/tex] . First, let's note that [tex](x + 3)^2 = (x + 3)(x + 3) = x^2 + 6x + 9. x[/tex] because this is two more than our expression.
Quadratic Equation: What Is It?The polynomial equations of degree two in one variable of type[tex]f(x) = ax^2 + bx + c = 0[/tex] and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x).
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What add up to -3 and multiples to -70
We add (x +7 ) (x - 10) up to -3 and multiply to -70.
What is a quadratic equation?
Any equation in algebra that can be written in the standard form where x denotes an unknown value and a, b, and c denote known numbers, where a 0 is a quadratic equation.
Here,
We illustrate and prove that -9 and 10 multiply to -90 and add up to 1:
7 × -10 = -70
-10 + 7 = -3
We are trying to determine how to factor the following quadratic equation.
x² -3 x - 70 = 0
If so, the solution to factor the quadratic equation above is:
(x +7 ) (x - 10)
To summarize, -10 and 7 multiplied by -70 and add up to -3, you know that the following is true:
x² -3x - 70
= (x +7 ) (x - 10)
Hence, we add (x +7 ) (x - 10) up to -3 and multiply by -70.
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PLEASE HELP
y = 2x + 1/3
Answer:
incorrect
Step-by-step explanation:
y= 1/3x+2 because the slope(m) going up by 1 takes up 3 spaces going out and u it in rise/run form rise being up and run being out and the y intercept(b) is where the y axis and the slope meet (basically it starts at the 2)
Joe decided to track the temperature in his town for five consecutive days. On Monday, the temperature was 23°C. On Tuesday, it decreased by 9°C and then increased by 7°C on Wednesday. On Thursday, the temperature rose 4°C and then decreased by 5°C on Friday. What was the overall temperature change over those five days?
Using a subtraction operation, the overall temperature change over those five days that Joe tracked the temperature in his town was a decrease of 3°C.
How is the temperature change computed?The temperature change can be computed by determining the differences in temperature from one day to the next and summing the differences.
The temperature change can also be computed by finding the difference between the ending period's temperature and the beginning period's temperature.
Days Temperature Change
Monday 23°C 0
Tuesday 14°C (23 - 9) -9
Wednesday 21°C (14 + 7) +7
Thursday 25°C (21 + 4) +4
Friday 20°C (25 - 5) -5
Overall change = -3°C
= 20°C - 23°C = -3°C
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A monomial with a degree of 3
The polynomial 4 · x³ is a monomial of degree 3.
What is a monomial?
In algebra there are two types of numbers: constants and variables. Constants are constant real numbers, while variables are real numbers that may represent more than a real number.
Polynomials are the result of combination of constants, variables and fundamental operators (addition, multiplication) and can be classified according to the number of terms:
Monomial - Polynomial with one term.
Binomial - Polynomial with two terms.
Trinomial - Polynomial with three terms.
Polynomial - Polynomial with four or more terms.
The grade of the polynomial is the maximum power that accompany a term in a polynomial in standard form. Then, we can bring an example of polynomial with a degree 3 below:
p(x) = 4 · x³
This is a monomial (polynomial with one term) with degree 3.
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express each number as a product of two fractions 1/5
Answer:
Theres nothing to solve for wheres the numbers?
Step-by-step explanation:
Match the parametric equations with the correct graph.
x=t cos (t), y=t, z=t sin(t), t ≥ 0
The given parametric equation represents the graph mentioned in Option A.
What is the parametric equation?A parametric equation is defined as a kind of equation that inherit an independent variable called a parameter, and where dependent variables are defined as continuous functions of the parameter.
here,
For equation, x = t cos (t), y = t, z = t sin(t), t ≥ 0.
Since,
x² + y² = t²cos²(t) + t² sin²t
x² + y² = t²
x² + y² = z²
Here, the x-z cross-section of the curve is a circle. But as t accumulates, the radius of the circle also advances in the y direction, and those circular cross-sections extend as the value of the parameter t increase.
The curve will draft as circles in x-z planes while moving towards y direction and also the radius of those circular cross sections increases at the same rate as its advancement towards y direction.
Thus, the given parametric equation represents the graph mentioned in Option A.
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Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit
The data provided in the table implies that Alonzo's Cycling should produce five or six bikes if it wants to maximize its profits.
What is profit maximization?Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.
This is because the sixth bike is the point at which the marginal revenue matches the marginal cost. The company will make $90 in profit with the sale of its fifth or sixth bike each day. After that, the profit begins to fall with each sale.
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Fill in the blank to make equivalent rational expressions.
Answer:
Step-by-step explanation:
a.we should Make their denominators the same.
16[tex]x^{8}[/tex]÷4x=4[tex]x^{7}[/tex]
b.molecule multiply 4[tex]x^{7}[/tex], 5·4[tex]x^{7}[/tex]=20[tex]x^{7}[/tex]
c.finally, we get it
the answer is 20[tex]x^{7}[/tex]
Can someone help with this? Please be right
Answer:
See attached
Step-by-step explanation:
You want various combinations of the functions g(a) = -3a+1 and h(a) = 3a³ +4a.
g/hThe functions have no common factors, so their ratio leaves the function expressions unchanged:
[tex]\dfrac{g(a)}{h(a)}=\boxed{\dfrac{-3a+1}{3a^3+4a}}[/tex]
h+gThe like terms are combined when the functions are added.
[tex]h(a)+g(a)=(3a^3+4a)+(-3a+1)=3a^3+(4-3)a+1\\\\=\boxed{3a^3+a+1}[/tex]
g-hSimilarly, the like terms are combined when the functions are subtracted.
[tex]g(a)-h(a)=(-3a+1)-(3a^3+4a)=-3a^3+(-3-4)a+1\\\\=\boxed{-3a^3-7a+1}[/tex]
g·hThe product is found the way products are usually found. Each term of one of the factors is multiplied by each term of the other factor, and these products are summed. You can think of it as repeated application of the distributive property.
[tex]g(a)\cdot h(a)=(-3a+1)(3a^3+4a)=-3a(3a^3+4a)+1(3a^3+4a)\\\\=-9a^4-12a^2+3a^3+4a\\\\=\boxed{-9a^4+3a^3-12a^2+4a}[/tex]
Help me please!!! 20 points
Answer:
x=4, y =5
Step-by-step explanation:
there's no factorization involved, just elimination and substitution. First subtract equation 1 and 2. The x's cancel out and you get y by itself and can solve for it. Then plug the value of y into equation 2 and solve for x and you get it. (In my picture I put value of y in equation 1 but your question asks for putting it in equation 2 so do that instead)
What are the answers
Answer:
Rate of change= 1/3
Initial value = -4
Step-by-step explanation:
The rate of change is rise/run = 1/3.
the initial value is the y-intercept which is -4.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]
now as far as the "initial value", dunno what that means.
The start of the line? well, the line by definition goes to infinity both ways.
the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).
PLEASE HELP FIND THE SOLUTION IN SLOPE INTERCEPT FORM
Answer: y= -3/4x+8
Step-by-step explanation:
whats the second step of calculating the present value of an ordinary annuity by table lookup
The second step of calculating the present value of an ordinary annuity by the table lookup is to look up the periods and rates in the PV annuity table.
What is the present value of an ordinary annuity?The present value of an ordinary annuity is the current value based on future cash inflows of the annuity, given a specified discount rate.
The present value is higher when the discount rate is lower, and vice versa.
The present value of an ordinary annuity, which discounts the annuity to the current time, is computed as Annuity Payment x Present value of the ordinary annuity table.
In conclusion, an annuity simply means a series of periodic payments and may involve payment at the beginning (annuity due) or at the end of the period (ordinary annuity).
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i’ll mark whoever brain list for the best answer
As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.
what is area ?An object's surface area is a measurement of the total volume of space that it occupies. The entire region surrounding a three-dimensional shape is referred to as its surface area. Its surface area is the total area of a three-dimensional shape. By adding the surfaces of each of a cuboid's six rectangular sides, one may determine the cuboid's surface area. The box's dimensions could also be named using the following formula: Surface (SA) = 2lw + 2lh + 2hw. A three-dimensional shape's surface area is a measurement of the total area it occupies (a three-dimensional shape is a shape that has height, width, and depth).
given
here,
Length = 3x + 3
Width = 6
Area of the rectangle = y, = length × width
y = [3x - 3 ] × [6]
y = 18x - 18 = 18[x -1]
Perimeter of the rectangle = 2[length + width]
z = 2 [3x + 3]
z = 6[x + 1]
As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.
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The correct question is :- Write a linear equation that represents the area and a linear equation that represents the perimeter of the rectangle (3x-3) cm and 6 cm .
noah has a part-time job at a coffee shop. last month he earned 160$. Noah pays an income tax rate of 10%. how much does Noah earn after tax?
Step-by-step explanation:
first of all, if he continuously earns only $160 per month (or at least in that dimension), then he will not have to pay any income tax.
but to do the exercise :
100% = $160
1% = 100%/100 = 160/100 = $1.60
10% = 1% × 10 = 1.6 × 10 = $16
he earns after tax
160 - 16 = $144
FYI :
when we combine all the calculations above into one sequence, then we know
100% - 10% = 90%
and 90% of 100% is 100% × 0.9
and so he earns after tax
160 × 0.9 = $144
Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular orbit, centered at the origin with a diameter of 140. The comet follows a parabolic path with directrix x = 100 and vertex at (85, 0). Part A: Write the equation of the planet's orbit in standard form. Show your work. (2 points) Part B: Write the equation of the comet's path in standard form. Show your work. (4 points) Part C: Identify all points where the planet's orbit intersects the path of the comet. Show your work and round answers to the hundredths place. (4 points)
Answer:
Part A: The equation of the planet's orbit is simply the equation of a circle with radius 70 (half the diameter) and center at the origin. The standard form equation of a circle with radius r and center at (h,k) is (x-h)^2 + (y-k)^2 = r^2. In this case, h and k are both 0, so the equation of the planet's orbit is simply x^2 + y^2 = 70^2.
Part B: The equation of the comet's path is a parabola with directrix x=100 and vertex at (85, 0). The standard form equation of a parabola with directrix x=p, vertex at (h,k), and focus at (h,k+f) is y = (4f/p^2)(x-h)^2 + k. In this case, p=100, h=85, k=0, and f is the distance from the vertex to the focus. We can find f by using the equation f = sqrt(p^2+4ah), where a is the distance from the vertex to the directrix. In this case, a=50, so f = sqrt(100^2+45085) = 50. Plugging this value into the equation for the parabola, we get y = (4*50/100^2)(x-85)^2 + 0. Simplifying this gives us y = (2/25)(x-85)^2.
Part C: To find the points where the planet's orbit intersects the path of the comet, we need to find the points where the x and y coordinates of the two equations are equal. Setting the two equations equal to each other gives us (2/25)(x-85)^2 = x^2 + y^2 - 70^2. Expanding the left side and rearranging the terms gives us x^2 - 170x + 15129 = 0. We can use the quadratic formula to find the solutions for x: x = (170 +/- sqrt(170^2 - 4115129))/2. This simplifies to x = 85 +/- sqrt(40900). Therefore, the points of intersection are (85 + sqrt(40900), 0) and (85 - sqrt(40900), 0). Rounding these values to the hundredths place gives us (92.84, 0) and (77.16, 0).
$640 , 3% , 2 years Find the simple interest earned to the nearest cent for each principal , interest rate , and time
The simple interest for principal of 640 and rate of 3% and time of 2 years is $3.84
How to find the simple interestThe Simple interest the end of 2 years is calculated using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $640
rate= 3%
time = 2 years
plugging in the values
Simple interest = Principal * time * rate / 100
Simple interest = 640 * 2 * 3 /100
Simple interest = 3840 / 100
Simple interest = $3.84
The simple interest is $3.84
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